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3 years ago

Is 3.222222 a rational number

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).

$3.\underbrace{222222}_{6}=\dfrac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}$

If is repeating:

$x=3.2222....$ multiply both sides by 10

$10x=32.2222...$ make the difference 10x - x

$10x-x=32.2222...-3.2222...$

$9x=29$ divide both sides by 9

$x=\dfrac{29}{9}-\bold{RATIONAL}$

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4 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

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= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

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3 years ago

Convert the function into intercept form. Show your work. y=-x^2+5x-36

Montano1993 [528]

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3 years ago

What is the sum of (7x - 6y) and (x plus y)

Ymorist [56]

Heya user

we have

7x - 6y and x + y

according to the question

( 7x - 6y ) + ( x + y )

→ 7x - 6 y +x + y

→ 8x - 5y

Hope This helps you

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